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Find the derivative of f(x) = 7,/3 Type your answer without fractional or negative exponents. Use sqrt(x) for vi. f' ( I) =m1} =sza_ 3=+1nd

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Find the derivative of f(x) = 7,/3 Type your answer without fractional or negative exponents. Use sqrt(x) for vi. f' ( I) =m1} =sza_ 3=+1nd :14}: Use this to nd the equation of the tangent line to the parabola y = 3:112 3: + 2 at the point [-1, 33}. The equation of this tangent line can be 1mitten in the form y = m: + b If f(I) 4x - 214- find F. it Find the equation of the tangent line to the curve 3; = 25111:! at the point (E , 1). The eqLatim of this tangent line can be written in the form y = mm: + b where Given that f(I) = I'h(x) h( - 1) = 3 h'(- 1) =6 Calculate f ( -1). Hint: Use the product rule and the power rule.4 hix) y-valties y-valties 2 g(x) 3 4 4 x-values x-values g(I) If f ( I) = then h(I) f' (2) =I Let f(I) = Find the values of a where f' (x) = 5. Give exact answers (not decimal approximations). The greater solution is I = The lesser solution is r =Let s(t) = 4t - 36t- + 60t be the equation of motion for a particle. Find a function for the velocity. w(t ) = Where does the velocity equal zero? [Hint: factor out the GCF. ] t and t = Find a function for the acceleration of the particle. a(t) =

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